The number 4241
4241 is a twin prime (4241 and 4243 are both prime) and the 581st prime number. Its only divisors are 1 and 4241.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4241: a twin prime (4241 and 4243 are both prime); the 581st prime number.
- 2
4241 is prime, so its only factors are 1 and 4241. It is the 581st prime; the next prime is 4243 and the one before is 4231.
- 3
The divisors add up to 4242; without 4241 itself that is 1, so 4241 is deficient (1 is less than 4241). Euler's totient φ(4241) = 4240 numbers up to 4241 share no factor with it.
- 4
The digits of 4241 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 108 steps to reach 1.
4241 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 4242 |
| Euler totient φ(n) | 4240 |
| Square | 17986081 |
| Cube | 76278969521 |
| Square root | 65.122961 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 108 |
| Scientific notation | 4.241 × |
4241 in other forms
| Form | Value |
|---|---|
| In words | four thousand two hundred and forty-one |
| Binary (base 2) | 1000010010001 |
| Octal (base 8) | 10221 |
| Hexadecimal (base 16) | 1091 |
| Base 3 | 12211002 |
| As time | 4241 seconds = 1 h 10 min 41 s |
Is 4241 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4241 a prime number?
Yes. 4241 is divisible only by 1 and itself.
What are the factors of 4241?
1, 4241.
What is 4241 in binary?
1000010010001 (hexadecimal 1091, octal 10221).
What is the square root of 4241?
About 65.1230.
Is 4241 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 4241?
4241 is a twin prime (4241 and 4243 are both prime); the 581st prime number.